{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:Q5AWU4CQVXMO56Q522F7J6DLIS","short_pith_number":"pith:Q5AWU4CQ","canonical_record":{"source":{"id":"1512.04686","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-15T09:15:08Z","cross_cats_sorted":[],"title_canon_sha256":"9fdaaba75465fbde0cb2b14a47e45676251110001b0ff6c31f6f02ea7b28dc70","abstract_canon_sha256":"ec2a0a50d16c555732b2de350996d9ca5672d9711b3e22792b1b3d6e64c2e9ba"},"schema_version":"1.0"},"canonical_sha256":"87416a7050add8eefa1dd68bf4f86b449957647bd065d99a4306fd64a546d375","source":{"kind":"arxiv","id":"1512.04686","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04686","created_at":"2026-05-18T01:24:19Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04686v1","created_at":"2026-05-18T01:24:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04686","created_at":"2026-05-18T01:24:19Z"},{"alias_kind":"pith_short_12","alias_value":"Q5AWU4CQVXMO","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q5AWU4CQVXMO56Q5","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q5AWU4CQ","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:Q5AWU4CQVXMO56Q522F7J6DLIS","target":"record","payload":{"canonical_record":{"source":{"id":"1512.04686","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-15T09:15:08Z","cross_cats_sorted":[],"title_canon_sha256":"9fdaaba75465fbde0cb2b14a47e45676251110001b0ff6c31f6f02ea7b28dc70","abstract_canon_sha256":"ec2a0a50d16c555732b2de350996d9ca5672d9711b3e22792b1b3d6e64c2e9ba"},"schema_version":"1.0"},"canonical_sha256":"87416a7050add8eefa1dd68bf4f86b449957647bd065d99a4306fd64a546d375","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:19.665854Z","signature_b64":"qjXEwIOhBBa37mzYjhLKuyG6EBwSdBirgsyC3ijWg9JGgfqkv3XAuomteAFrzP1nTxFkH44qSFyYGraQLk+UCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87416a7050add8eefa1dd68bf4f86b449957647bd065d99a4306fd64a546d375","last_reissued_at":"2026-05-18T01:24:19.665439Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:19.665439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.04686","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NALA5LTtldfH0/ppD0j/tnf2WkYbgEXANaNfoYLAbyG/66BRZwVJg1P1lzU/Tn9FOJjyf41CxYpn52OUpnVzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:57:12.415860Z"},"content_sha256":"d8784c1d0ca76fc1fffaf8b6078d7bdb1e8ceea1683a778d4fb0864b7cf936df","schema_version":"1.0","event_id":"sha256:d8784c1d0ca76fc1fffaf8b6078d7bdb1e8ceea1683a778d4fb0864b7cf936df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:Q5AWU4CQVXMO56Q522F7J6DLIS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Smooth projective horospherical varieties with nef tangent bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Qifeng Li","submitted_at":"2015-12-15T09:15:08Z","abstract_excerpt":"We show that smooth projective horospherical varieties with nef tangent bundles are rational homogeneous spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04686","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+mCLPlNmIqF9ck8OqyRbzLYm8We+Z7mVR6QI3FVlxQyNVNhepj3nJOuj6UKZJpgNQDA5DyfolRNSPh+Phy3KBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T03:57:12.416525Z"},"content_sha256":"64bfe47d209b6f7c2f4d1d08024ffb8786497da09a2e097ec3c88f7608a5c129","schema_version":"1.0","event_id":"sha256:64bfe47d209b6f7c2f4d1d08024ffb8786497da09a2e097ec3c88f7608a5c129"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q5AWU4CQVXMO56Q522F7J6DLIS/bundle.json","state_url":"https://pith.science/pith/Q5AWU4CQVXMO56Q522F7J6DLIS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q5AWU4CQVXMO56Q522F7J6DLIS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T03:57:12Z","links":{"resolver":"https://pith.science/pith/Q5AWU4CQVXMO56Q522F7J6DLIS","bundle":"https://pith.science/pith/Q5AWU4CQVXMO56Q522F7J6DLIS/bundle.json","state":"https://pith.science/pith/Q5AWU4CQVXMO56Q522F7J6DLIS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q5AWU4CQVXMO56Q522F7J6DLIS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:Q5AWU4CQVXMO56Q522F7J6DLIS","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ec2a0a50d16c555732b2de350996d9ca5672d9711b3e22792b1b3d6e64c2e9ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-15T09:15:08Z","title_canon_sha256":"9fdaaba75465fbde0cb2b14a47e45676251110001b0ff6c31f6f02ea7b28dc70"},"schema_version":"1.0","source":{"id":"1512.04686","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.04686","created_at":"2026-05-18T01:24:19Z"},{"alias_kind":"arxiv_version","alias_value":"1512.04686v1","created_at":"2026-05-18T01:24:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.04686","created_at":"2026-05-18T01:24:19Z"},{"alias_kind":"pith_short_12","alias_value":"Q5AWU4CQVXMO","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q5AWU4CQVXMO56Q5","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q5AWU4CQ","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:64bfe47d209b6f7c2f4d1d08024ffb8786497da09a2e097ec3c88f7608a5c129","target":"graph","created_at":"2026-05-18T01:24:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We show that smooth projective horospherical varieties with nef tangent bundles are rational homogeneous spaces.","authors_text":"Qifeng Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-15T09:15:08Z","title":"Smooth projective horospherical varieties with nef tangent bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.04686","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d8784c1d0ca76fc1fffaf8b6078d7bdb1e8ceea1683a778d4fb0864b7cf936df","target":"record","created_at":"2026-05-18T01:24:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ec2a0a50d16c555732b2de350996d9ca5672d9711b3e22792b1b3d6e64c2e9ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-15T09:15:08Z","title_canon_sha256":"9fdaaba75465fbde0cb2b14a47e45676251110001b0ff6c31f6f02ea7b28dc70"},"schema_version":"1.0","source":{"id":"1512.04686","kind":"arxiv","version":1}},"canonical_sha256":"87416a7050add8eefa1dd68bf4f86b449957647bd065d99a4306fd64a546d375","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87416a7050add8eefa1dd68bf4f86b449957647bd065d99a4306fd64a546d375","first_computed_at":"2026-05-18T01:24:19.665439Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:19.665439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qjXEwIOhBBa37mzYjhLKuyG6EBwSdBirgsyC3ijWg9JGgfqkv3XAuomteAFrzP1nTxFkH44qSFyYGraQLk+UCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:19.665854Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.04686","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d8784c1d0ca76fc1fffaf8b6078d7bdb1e8ceea1683a778d4fb0864b7cf936df","sha256:64bfe47d209b6f7c2f4d1d08024ffb8786497da09a2e097ec3c88f7608a5c129"],"state_sha256":"1b0a936c0a1e3d9e91c4575dd9a35c2f40fa96de546dfd567be887443b0fc270"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ozF1uVv4Y6X0EvEDDv1xLVBn3NeM579ID13011M6jjt7zlLj5TWdAO7SkqKokfgzSSUut25cRIypFBCnEdwoAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T03:57:12.420832Z","bundle_sha256":"aa78ddfb56c2f495227623949a6e0144e17a44806a6975d14c52eb5cbb6fdbd6"}}